Systems and methods are provided for performing multilevel coset coding and probabilistic error correction. Multiple bit data is encoded in a memory by combining one of the bit positions of multiple data values and encoding the combination to form a codeword. A data point containing a bit error is determined by decoding a codeword associated with one of the bit positions. A first coset corresponding to a data point with the error is determined where the coset includes labels representing non-adjacent analog signal levels. Labels in a second coset that includes mutually exclusive labels from the first coset are analyzed to select a label representing a signal level that is closest in proximity to the signal level represented by the data point containing the bit error than the other labels in the second coset. The data point error is corrected by replacing the data point with the selected label.